Book contents
- Theory of Machines and Mechanisms
- Reviews
- Theory of Machines and Mechanisms
- Copyright page
- Epigraph
- John J. Uicker, Jr., July 11, 1938 – April 25, 2023
- Contents
- Preface
- Part I Kinematics and Mechanisms
- Part II Design of Mechanisms
- 6 Cam Design
- 7 Spur Gears
- 8 Helical Gears, Bevel Gears, Worms, and Worm Gears
- 9 Synthesis of Linkages
- 10 Spatial Mechanisms and Robotics
- Part III Dynamics of Machines
- Book part
- Index
- References
10 - Spatial Mechanisms and Robotics
from Part II - Design of Mechanisms
Published online by Cambridge University Press: 24 August 2023
Book contents
- Theory of Machines and Mechanisms
- Reviews
- Theory of Machines and Mechanisms
- Copyright page
- Epigraph
- John J. Uicker, Jr., July 11, 1938 – April 25, 2023
- Contents
- Preface
- Part I Kinematics and Mechanisms
- Part II Design of Mechanisms
- 6 Cam Design
- 7 Spur Gears
- 8 Helical Gears, Bevel Gears, Worms, and Worm Gears
- 9 Synthesis of Linkages
- 10 Spatial Mechanisms and Robotics
- Part III Dynamics of Machines
- Book part
- Index
- References
Summary
The large majority of mechanisms in use today have planar motion, that is, the motions of all points produce paths that lie in a single plane or in parallel planes. This means that all motions can be seen in true size and shape from a single viewing direction and that graphic methods of analysis require only a single view. If the coordinate system is chosen with the x and y axes parallel to the plane(s) of motion, then all z values remain constant, and the problem can be solved, either graphically or analytically, with only two-dimensional methods. Although this is usually the case, it is not a necessity. Mechanisms having three-dimensional point paths do exist and are called spatial mechanisms. Another special category, called spherical mechanisms, have point paths that lie on concentric spherical surfaces.
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- Theory of Machines and Mechanisms , pp. 544 - 604Publisher: Cambridge University PressPrint publication year: 2023
References
Baker, J. E., 1988. The Bennett linkage and its associated quadric surfaces, Mech. Mach. Theory, 23(2):147–156.CrossRefGoogle Scholar
Chace, M. A., 1963. Vector analysis of linkages, J. Eng. Ind. ASME Trans. B 85: 289–297.CrossRefGoogle Scholar
Chuang, J. C., Strong, R. T., and Waldron, K. J., 1981. Implementation of solution rectification techniques in an interactive linkage synthesis program, J. Mech. Des. ASME Trans., 103(3):657–664.Google Scholar
Denavit, J., and Hartenberg, R. S., 1955. A kinematic notation for lower-pair mechanisms based on matrices, J. Appl. Mech. ASME Trans. E 22(2):215–221.CrossRefGoogle Scholar
Duffy, J., and Crane, C., 1980. A displacement analysis of the general spatial 7-link, 7R mechanisms, Mech. Mach. Theory 15(3):153–169.CrossRefGoogle Scholar
Erdman, A. G., and Gustafson, J. E., 1977. LINCAGES: Linkage interactive computer analysis and graphically enhanced synthesis package, ASME Paper No. 77-DTC-5.Google Scholar
Goldberg, M., 1943. New five-bar and six-bar linkages in three dimensions, ASME Trans. 65:649–661.Google Scholar
Gough, V. E., 1956. Contribution to discussion of papers on research in automobile stability, control and tyre performance, Proc. Auto Div. Inst. Mech. Eng. 171:392–394.Google Scholar
Harrisberger, L., 1965. A number synthesis survey of three-dimensional mechanisms, J. Eng. Ind. ASME Trans. B 87(2):213–218.CrossRefGoogle Scholar
Harrisberger, L., and Soni, A. H., 1966. A survey of three-dimensional mechanisms with one general constraint, ASME Paper No. 66-MECH-44. (This paper contains 45 references on spatial mechanisms.)Google Scholar
Hartenberg, R. S., and Denavit, J., 1964. Kinematic Synthesis of Linkages, New York: McGraw-Hill.Google Scholar
Haug, E. J., 1989. Computer-Aided Kinematics and Dynamics of Mechanical Systems, Boston, MA: Allyn Bacon.Google Scholar
Hunt, K. H., 1978. Kinematic Geometry of Mechanisms, New York: Oxford University Press.Google Scholar
Kaufman, R. E., 1971. KINSYN: An interactive kinematic design system, Trans. 3rd World Cong. on Theory of Mach. and Mech., Dubrovnik, Yugoslavia.Google Scholar
Orlandea, N., Chace, M. A., and Calahan, D. A., 1977. A sparsity-oriented approach to the dynamic analysis and design of mechanical systems, parts I and II, J. Eng. Ind. ASME Trans., 99:773–784.CrossRefGoogle Scholar
Pennock, G. R., and Yang, A.T., 1985. Application of dual-number matrices to the inverse kinematics problem of robot manipulators, J. Mech. Trans. Automation Design ASME Trans. 107(2):201–208.CrossRefGoogle Scholar
Phillips, J., 1984/1990. Freedom of Machinery, vols 1–2, New York: Cambridge University Press.Google Scholar
Sheth, P. N., and Uicker, J. J. Jr., 1972. IMP (Integrated Mechanisms Program): A computer-aided design analysis system for mechanisms and linkages, J. Eng. Ind. ASME Trans., 94:454–464.CrossRefGoogle Scholar
Stewart, D, 1965. A platform with six degrees of freedom, Proc. Inst. Mech. Eng. (UK) 180: 371–386.CrossRefGoogle Scholar
Uicker, J. J., Ravani, B., and Sheth, P. N., 2013. Matrix Methods in the Design Analysis of Mechanisms and MultiBody Systems, New York: Cambridge University Press.CrossRefGoogle Scholar
Yang, A. T., and Freudenstein, F., 1964. Application of dual-number and quaternion algebra to the analysis of spatial mechanisms, J. Appl. Mech. ASME Trans. E 86: 300–308.Google Scholar
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